Question

1. it is determined that the average gamer spends 350.7 minutes per week playing video games. note that a week is 7 days. a.) what is the ratio (in fraction form) of minutes spent playing video games per day? ____ b.) this means that gamers spend ____ minutes per day (on average) playing video games.

Explanation:

Part a)

Step1: Identify total minutes and days

Total minutes per week = 350.7, Days in a week = 7.

Step2: Form the ratio

The ratio of minutes per day is $\frac{350.7}{7}$. To write this as a fraction without decimals, multiply numerator and denominator by 10: $\frac{3507}{70}$. We can simplify this fraction (divide numerator and denominator by 7? Wait, 3507 ÷ 7 = 501, 70 ÷ 7 = 10? Wait 7×501 = 3507? 7×500=3500, 7×1=7, so 3500+7=3507. Yes! So $\frac{3507\div7}{70\div7}=\frac{501}{10}$. Wait, wait, original fraction is $\frac{350.7}{7}$. Let's do decimal division: 350.7 ÷ 7. 7×50 = 350, so 350.7 - 350 = 0.7, 0.7 ÷7 = 0.1, so total is 50.1, which is $\frac{501}{10}$. So the ratio is $\frac{350.7}{7}$ or simplified $\frac{501}{10}$. Wait, maybe better to start with $\frac{350.7}{7}$. Multiply numerator and denominator by 10 to eliminate decimal: $\frac{3507}{70}$. Then divide numerator and denominator by 7: 3507 ÷7=501, 70÷7=10. So $\frac{501}{10}$.

Step1: Divide total weekly minutes by 7

To find minutes per day, we calculate $350.7 \div 7$.

Step2: Perform the division

7×50 = 350, so 350.7 - 350 = 0.7. Then 0.7 ÷7 = 0.1. So 50 + 0.1 = 50.1. Alternatively, using the fraction from part a, $\frac{501}{10}=50.1$.

Answer:

$\frac{501}{10}$ (or $\frac{350.7}{7}$ which is equivalent)

Part b)